Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the $y$ -intercept of the line $17x - 16y = -20$ . Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

View step-by-step help

View step-by-step help

Standard form: find x- and y-intercepts

Full solution

Q. Find the

y

-intercept of the line

17x - 16y = -20

. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

Set $x$ to $0$ : To find the y-intercept of the line, we need to set $x$ to $0$ and solve for $y$ . $\newline$ Substitute $x = 0$ into the equation $17x - 16y = -20$ . $\newline$ $17(0) - 16y = -20$ $\newline$ $-16y = -20$
Solve for y: Now, we solve for $y$ by dividing both sides of the equation by $-16$ . $\newline$ $\frac{-16y}{-16} = \frac{-20}{-16}$ $\newline$ $y = \frac{20}{16}$
Simplify the fraction: Simplify the fraction $\frac{20}{16}$ to its simplest form. $\newline$ Both the numerator and the denominator can be divided by $4$ . $\newline$ $y = \left(\frac{20}{4}\right) / \left(\frac{16}{4}\right)$ $\newline$ $y = \frac{5}{4}$

More problems from Standard form: find x- and y-intercepts

Question

(0, 4)

satisfy the equation

y = x

?

\newline

Choices: [[yes]][[no]]

Posted 3 months ago

Question

Find the slope of the line

y = -4x + \frac{2}{5}

\newline

Write your answer as an integer or as a simplified proper or improper fraction.

Posted 2 months ago

Question

Rewrite the following equation in slope-intercept form.

\newline

y + 8 = -8(x - 10)

\newline

Write your answer using integers, proper fractions, and improper fractions in simplest form.

\newline

Posted 2 months ago

Question

y

-intercept of the line

14x - 16y = -10

\newline

Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.

\newline

Posted 2 months ago

Question

q

\frac{-2}{3}

r

is perpendicular to

q

. What is the slope of line

r

\newline

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

\newline

\_\_\_\_\_

Posted 2 months ago

Question

Find the slope of the line

y + 3 = -\frac{1}{18}(x + 6)

\newline

Write your answer as an integer or as a simplified proper or improper fraction.

Posted 2 months ago

Question

p

has an equation of

y = -8x + 6

q

, which is perpendicular to line

p

, includes the point

(2, -2)

. What is the equation of line

q

?

\newline

Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers.

\newline

Posted 2 months ago

Question

Is the graph of this equation a horizontal or vertical line?

\newline

x = 7

\newline

\newline

\text{(A)horizontal line}

\newline

\text{(B)vertical line}

Posted 3 months ago

Question

Rewrite the following equation in standard form.

\newline

y = -10x + 7

\newline

Hint: The standard form of a linear equation is

\newline

Ax + By = C

A

B

are not both zero, and

A

B

C

are integers whose GCF is

1

Posted 3 months ago

Question

A line with a slope of

9

passes through the point

(9,9)

. What is its equation in point-slope form?

\newline

Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.

\newline

y - \underline{\hspace{1cm}} = \underline{\hspace{1cm}} (x - \underline{\hspace{1cm}})

Posted 2 months ago